99-331 P. Caputo and Y. Velenik

A note on wetting transition for gradient fields (29K, Latex 2e) Sep 10, 99

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Abstract. We prove existence of a wetting transition for two types of gradient fields: 1) Continuous SOS models in any dimension and 2) Massless Gaussian model in two dimensions. Combined with a recent result showing the absence of such a transition for Gaussian models above two dimensions by Bolthausen et al, this shows in particular that absolute-value and quadratic interactions can give rise to completely different behaviors.

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